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Finding the Fourth Proportional to 284,739.42, 392,923.52 and 157,407.42

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Solution

The fourth proportional to 284,739.42, 392,923.52 and 157,407.42 is: 217,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,739.42 : 392,923.52 = 157,407.42 : x
  2. Step 2: Convert to fraction form
    284,739.42/392,923.52 = 157,407.42/x
  3. Step 3: Cross multiply
    284,739.42x = 392,923.52 × 157,407.42
  4. Step 4: Simplify right side
    284,739.42x = 61,849,077,492.44
  5. Step 5: Solve for x
    x = 61,849,077,492.44/284,739.42
  6. Step 6: Final answer
    x = 217,212.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.